East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A Study on the Understanding in Results of Arithmetic Operation

연산 결과의 의미 이해에 관한 연구

  • Received : 2015.01.11
  • Accepted : 2015.02.25
  • Published : 2015.02.28
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Abstract

The arithmetic operation have double-sided character. One is calculation as a process, the other is understanding in results as an outcome of the operation. We harbored suspicion on students' misunderstanding in an outcome of the operation, because the curriculum has focused on the calculation, as a process of arithmetic operation. This study starts with the presentation of this problem, we tried to find the recognition ability and character in the arithmetic operation. We researched the recognition ability for 7th grade 27 students who have enough experience in arithmetic operation when studying in elementary school. And we had an interview with 3students individually, that has an error in understanding in results of arithmetic operation but has no error in calculation. We focused on 3students' detailed appearance of the ability to understand in results of arithmetic operation and analysed the changing appearance after recommending unit record using operation expression. As a result, we could find the abily to underatanding in results of arithmetic operation and applicability to recommend unit record using operation expression. Through these results, we suggested educational implications in understanding in results of arithmetic operation.

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References

  1. 강정기.정상태.노은환(2014). 연산 결과의 의미 이해를 돕기 위한 단위 사용에서의 교수학적 변환 연구. 한국수학교육학회지 시리즈 C 초등수학교육, 17(3), 95-111.
  2. 교육과학기술부(2010a). 초등학교 수학 6-1. 서울: (주) 천재교육.
  3. 교육과학기술부(2010b). 초등학교 수학 5-1. 서울: 두산동아.
  4. 교육과학기술부(2010c). 초등학교 수학 5-2. 서울: 두산동아.
  5. 교육과학기술부(2011). 초등학교 수학 6-1 지도서. 서울: 두산동아
  6. 교육부(2014a). 초등학교 수학 4-1 교사용 지도서. 서울: (주) 천재교육.
  7. 교육부(2014b). 초등학교 수학 4-1. 서울: (주) 천재교육.
  8. 황우형.김경미(2008). 자연수의 사칙연산에 대한 아동의 이해 분석. 한국수학교육학회지 시리즈 A 수학교육, 47(4), 519-543.
  9. Carpenter, T. P., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B.(1999). Children's mathematics cognitively guided instruction. Portsmouth, NH: Heinemann.
  10. Carpenter, T. P., Ansell, E., Franke, M. L., Fennema, E., & Weisbeck, L.(1993). Models of problems solving: A study of kindergarten children's problem-solving processes. Journal for Research in Mathematics Education, 24, 428-441. https://doi.org/10.2307/749152
  11. Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. P., & Loef, M.(2004). Using knowledge of children's mathematics thinking in classroom teaching: An experimental study. In Carpenter, T. P., Dossey, J. A., & Koehler, J. L.(Ed.), Classics in mathematics edcuational research (pp.134-151). Reston, VA: NCTM.
  12. Christou, C. & Philippou, G.(1998). The developmental nature of ability to solve one-step word problems. Journal for Research in Mathematics Education, 29(4), 436-442. https://doi.org/10.2307/749860
  13. English, L. D. & Halford, G. S.(1995). Mathematics education models and processes. NY: Lawrence Erlbaum.
  14. Fischbein, E., Deri, M., Nello, M. S., & Merino, M. S.(1985). The role of implicit models in solving verbal problems in multiplication and division. Journal for Research in Mathematis Education, 16, 3-17. https://doi.org/10.2307/748969
  15. Greer, B.(1992). Multiplication and division as models of situations. In D. Grouws(Ed.), Handbook of Research on Mathematics Teaching and Learning (pp.276-295). NY: Macmillan.
  16. Mulligan, J. T., & Mitchelmore, M. C.(1997). Young children's intuitive models of multiplication and division. Journal for Research in Mathematics Education, 28(3), 309-330. https://doi.org/10.2307/749783